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1040522652 = 2233133112383
BaseRepresentation
bin111110000001010…
…001110110011100
32200111221000202000
4332001101312130
54112333211102
6251130002300
734533203511
oct7601216634
92614830660
101040522652
11494391084
12250576390
131377578a0
149c299308
156153801c
hex3e051d9c

1040522652 has 96 divisors (see below), whose sum is σ = 2915727360. Its totient is φ = 318997440.

The previous prime is 1040522603. The next prime is 1040522653. The reversal of 1040522652 is 2562250401.

1040522652 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 5 + 2 + 2 + 652 = 666.

1040522652 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10405226522 = 2165374778650226208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040522653) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 435453 + ... + 437835.

It is an arithmetic number, because the mean of its divisors is an integer number (30372160).

Almost surely, 21040522652 is an apocalyptic number.

1040522652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1040522652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1457863680).

1040522652 is an abundant number, since it is smaller than the sum of its proper divisors (1875204708).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1040522652 is a wasteful number, since it uses less digits than its factorization.

1040522652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2720 (or 2712 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 1040522652 is about 32257.1333506249. The cubic root of 1040522652 is about 1013.3290964831.

The spelling of 1040522652 in words is "one billion, forty million, five hundred twenty-two thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 311 351 468 622 702 933 1244 1404 1866 2383 2799 3732 4043 4766 5598 7149 8086 8397 9532 11196 12129 14298 16172 16794 21447 24258 28596 30979 33588 36387 42894 48516 61958 64341 72774 85788 92937 109161 123916 128682 145548 185874 218322 257364 278811 371748 436644 557622 741113 836433 1115244 1482226 1672866 2223339 2964452 3345732 4446678 6670017 8893356 9634469 13340034 19268938 20010051 26680068 28903407 38537876 40020102 57806814 80040204 86710221 115613628 173420442 260130663 346840884 520261326 1040522652